The Single-Electron-Box and the Helicity Modulus of an inverse square XY-Model

W. Hofstetter; W. Zwerger

doi:10.1103/physrevlett.78.3737

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The Single-Electron-Box and the Helicity Modulus of an inverse square XY-Model

W. Hofstetter·W. Zwerger

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Abstract

We calculate the average number of electrons on a metallic single-electron-box as a function of the gate voltage for arbitrary values of the tunneling conductance. In the vicinity of the plateaus the problem is equivalent to calculating the helicity modulus of a classical inverse square XY-model in one dimension. By a combination of perturbation theory, a two-loop renormalization group calculation and a Monte-Carlo simulation in the intermediate regime we provide a complete description of the smearing of the Coulomb staircase at zero temperature with increasing conductance.

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W. Hofstetter, W. Zwerger. 1996-12-19. The Single-Electron-Box and the Helicity Modulus of an inverse square XY-Model. https://doi.org/10.1103/physrevlett.78.3737

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